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9668302848 = 21132618599
BaseRepresentation
bin10010000000100011…
…01001100000000000
3220221210121200011200
421000101221200000
5124300041142343
64235213141200
7461406134601
oct110021514000
926853550150
109668302848
114111561036
121a59a8a800
13bb1072079
1467a09bda8
153b8bdc4d3
hex240469800

9668302848 has 144 divisors (see below), whose sum is σ = 28384902000. Its totient is φ = 3169566720.

The previous prime is 9668302841. The next prime is 9668302907. The reversal of 9668302848 is 8482038669.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×96683028482 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9668302794 and 9668302803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9668302841) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1120053 + ... + 1128651.

It is an arithmetic number, because the mean of its divisors is an integer number (197117375).

Almost surely, 29668302848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9668302848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14192451000).

9668302848 is an abundant number, since it is smaller than the sum of its proper divisors (18716599152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9668302848 is a wasteful number, since it uses less digits than its factorization.

9668302848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8688 (or 8665 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The square root of 9668302848 is about 98327.5284343098. The cubic root of 9668302848 is about 2130.3456901073.

The spelling of 9668302848 in words is "nine billion, six hundred sixty-eight million, three hundred two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 128 144 183 192 244 256 288 366 384 488 512 549 576 732 768 976 1024 1098 1152 1464 1536 1952 2048 2196 2304 2928 3072 3904 4392 4608 5856 6144 7808 8599 8784 9216 11712 15616 17198 17568 18432 23424 25797 31232 34396 35136 46848 51594 62464 68792 70272 77391 93696 103188 124928 137584 140544 154782 187392 206376 275168 281088 309564 374784 412752 524539 550336 562176 619128 825504 1049078 1100672 1124352 1238256 1573617 1651008 2098156 2201344 2476512 3147234 3302016 4196312 4402688 4720851 4953024 6294468 6604032 8392624 8805376 9441702 9906048 12588936 13208064 16785248 17610752 18883404 19812096 25177872 26416128 33570496 37766808 39624192 50355744 52832256 67140992 75533616 79248384 100711488 134281984 151067232 158496768 201422976 268563968 302134464 402845952 537127936 604268928 805691904 1074255872 1208537856 1611383808 2417075712 3222767616 4834151424 9668302848